How do you solve a system of equations with two variables?

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Paindealer
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Ok, I have this math sheep due tomorrow and I completely forgot how to do this simple problem that I used to wiz through just a few months ago.

How do you do these:

{2x-3y=1
{-x+4y=2

But imagine the { thingees are actually one big { thingee spanning the height of both equations.
 
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Solve one equation in terms of x. x= (something). Then put that back into the other remaining equation. This will give you an anwser for y first. Then you can use either equation and your now known y value to find the x value.
 
OOOOOOh, now I remember, Thank you so much :)